GEOMETRY PROJECT CHAPTER 1



YOU WILL SELECT ONE OF THE FOLLOWING PROJECTS FOR YOUR FIRST QUARTER PROJECT.

THE PROJECT IS WORTH 18 POINTS.

A DRAFT OF YOUR WORK (AT LEAST 2 ARTICLES OR PUZZLES) IS DUE ON TUESAY, OCTOBER 11TH.

THE FINAL PROJECT WILL BE DUE WEDNESDAY, OCTOBER 19TH.

GEOMETRY LOGIC PUZZLES – FIRST PROJECT

You are going to create a booklet of three logic puzzles that you are given. For each of the three puzzles you should:

1) Illustrate (make a sketch of) the puzzle.

2) Under each puzzle, you will write your solution, including an explanation of your thinking in complete sentences (you may want to type this part).

3) Include only one puzzle for each page.

You will find that making a model and thinking it through, step by step, will help you succeed.

The three puzzles are included on the next page.

A draft of your work (at least 2 of the puzzles) is due on Tuesday, October 11th.

Logic booklets are due on Wednesday, October 19th, 2005.

SCORING: (Note: The points for each puzzle increase with difficulty)

Musician Puzzle Illustrated 1 point

Solved correctly 1 point

Logically explained 1 point

Hats in the Box Illustrated 1 point

Solved correctly 2 points

Logically explained 3 points

Alan, Ben & Cal Illustrated 1 point

Solved correctly 2 points

Logically explained 4 points

Booklet 1 point

Neatly done 1 point

_____________________________________________

Total points 18

Total Score (18 points): _______________

Puzzle 1: Find Out by Organizing

A drummer, guitarist, and keyboard player named Amy, Bob, and Carla are in a band. Use the clues to determine which instrument each plays.

Carla and the drummer wear different-colored shirts.

The keyboard player is older than Bob.

Amy, the youngest band member, lives next door to the guitarist.

You can solve this type of logic puzzle by eliminating possibilities. Make a grid. Put an X in a box once you eliminate it as a possibility.

|Instruments |Amy |Bob |Carl |

|Drum | | | |

|Guitar | | | |

|Keyboard | | | |

___________________________________________________________________

Puzzle 2: Find Out by Listing

Three red hats and three blue hats are packed in three boxes, with two hats to a box. The boxes are all labeled incorrectly. To determine what each box actually contains, you may select one hat from one box, without looking at the contents of that box. Explain how this will allow you to determine the contents of each box. (Hint: List all possible solutions; then use logic to solve.)

______________________________________________________________________

Puzzle 3: Find Out by Analyzing

Alan, Ben, and Cal are seated as shown with their eyes closed. Three hats are placed on their heads from a box they know contains 3 red and 2 blue hats. They open their eyes and look forward.

Alan says. “I cannot deduce what color hat I’m wearing.”

Hearing that, Ben says, “I cannot deduce what color I’m wearing, either.”

Cal then says, “I know what color I’m wearing!”

How does Cal know what color his hat is? (Hint: Use one of the strategies you used to solve the previous two puzzles.)

Alan ( Ben ( Cal

GEOMETRY ADVERTISING – SECOND PROJECT

Find 4 advertising articles from a magazine. For each article you should:

1. Neatly cut out the article and paste it to a sheet of paper.

2. Read the advertisement.

3. Write the advertisement as a conditional statement. (If, then form)

4. Underline the hypothesis of the conditional statement.

5. Circle the conclusion of the conditional statement.

6. Write the converse (switch the “if” and “then” statements).

The project must be in booklet form. This means that all the advertisements are bound together in some manner with only one advertisement on each page. The conditional statements and converses may be to the left/right of the advertisement or above/below the advertisement. You may want to type these statements.

A draft of your work (at least 2 ads completed) is due on Tuesday, October 11th.

Booklets are due on Wednesday, October 19th, 2005.

Grading Policy: This project is worth a total of 18 points; 4 points per advertisement and 2 points for the booklet and neatness.

SCORING

|Article 1 (4PTS) | |Article 2 (4PTS) |

|________Conditional | |________Conditional |

| | | |

|________ Hypothesis | |________ Hypothesis |

| | | |

|________Conclusion | |________Conclusion |

| | | |

|________ Converse | |________ Converse |

| | | |

|Article 4 (4PTS) | |Article 4 (4PTS) |

|________Conditional | |________Conditional |

| | | |

|________ Hypothesis | |________ Hypothesis |

| | | |

|________Conclusion | |________Conclusion |

| | | |

|________ Converse | |________ Converse |

1 POINT: _________ Booklet 1 POINT: _________ Neatness

Total Score (18 points): _______________

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2 Blue

2 Red

Mixed

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